Transcendence of Jacobi's theta series

被引：24
|
作者：
Duverney, D
Nishioka, K
Nishioka, K
Shiokawa, I
机构：
[1] KEIO UNIV, FAC ENVIRONM INFORMAT, TOKYO 108, JAPAN
[2] KEIO UNIV, DEPT MATH, TOKYO 108, JAPAN
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 1996年 / 72卷 / 09期
关键词：
D O I：
10.3792/pjaa.72.202
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：202 / 203
页数：2
相关论文
共 50 条
  • [31] Transcendence of the values of certain series with Hadamard's gaps
    T.-A. Tanaka
    [J]. Archiv der Mathematik, 2002, 78 : 202 - 209
  • [32] A 'Short Series of Discrete Problems' - Jacobi,S
    Haigh, T
    [J]. TLS-THE TIMES LITERARY SUPPLEMENT, 1997, (4912): : 20 - 20
  • [33] TRANSCENDENCE PROPERTIES OF NUMBERS RELATED TO THETA FUNCTIONS
    BERTRAND, D
    LAURENT, M
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (16): : 747 - 749
  • [34] ON THE TRANSCENDENCE OF CERTAIN SERIES
    BUNDSCHUH, P
    PETHO, A
    [J]. MONATSHEFTE FUR MATHEMATIK, 1987, 104 (03): : 199 - 223
  • [35] A simple approximation for the Jacobi theta function
    Khabeev, NS
    Zolovkin, NA
    [J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2005, 12 (03) : 400 - 400
  • [36] Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet Series, and Jacobi Theta Function
    Makoto Katori
    Minami Izumi
    Naoki Kobayashi
    [J]. Journal of Statistical Physics, 2008, 131 : 1067 - 1083
  • [37] Optimal mock Jacobi theta functions
    Cheng, Miranda C. N.
    Duncan, John F. R.
    [J]. ADVANCES IN MATHEMATICS, 2020, 372
  • [38] ON THE TRANSCENDENCE OF CERTAIN SERIES
    WOODCOCK, CF
    SHARIF, H
    [J]. JOURNAL OF ALGEBRA, 1989, 121 (02) : 364 - 369
  • [39] EISENSTEIN SERIES AND TRANSCENDENCE
    BERTRAND, D
    [J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1976, 104 (03): : 309 - 321
  • [40] Two Bessel bridges conditioned never to collide, double Dirichlet series, and Jacobi theta function
    Katori, Makoto
    Izumi, Minami
    Kobayashi, Naoki
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2008, 131 (06) : 1067 - 1083
12345